1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ale4655 [162]
4 years ago
5

v = 20.8x^2 - 458.3x + 3,500 represents the value of a car from 1964 to 2002. What year did the car have the least value? (x= 0

in 1964)

Mathematics
1 answer:
Karo-lina-s [1.5K]4 years ago
7 0
See the picture for all detail, I have done it by hand.
Few important steps;
-Take the first derivative
-Put it equal to zero
-you get the x value which is equal to 11
-Now for the check that x=11 is the least value or not, take the second derivative
-As, the 2nd derivative is positive so it is the least value

As x=0 in 1964 add 11 to it so at x=11 we get 1975 so in this year car have least value

You might be interested in
When Emily arrived home from school, she spent 8 minutes eating a snack. Then, she spent 15 minutes playing
OleMash [197]

Answer:

8+15+32+45= 100 minutes, or an hour and 40 minutes

6 0
3 years ago
2x^2-3x-9 please help
Romashka-Z-Leto [24]
Im assuming you mean 2x^2-3x-9=0 ?
If so, you have to factorise the equation
(2x-3) (x+3) = 0

2x - 3 = 0
2x = 3
x = 1.5

x + 3 = 0
x = -3

x is either 1.5 or -3

8 0
4 years ago
Read 2 more answers
A baseball player hits a pitched ball when it is 4 ft above the ground. The initial upward velocity is 80 ft/s. How
iren [92.7K]

Answer:

t=+4.06

Step-by-step explanation:

when the baseball hits the ground, the height will be 0.

h=0we are given that h=−16t2+64t+4.

this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.

since time cannot be negative, only the positive value can be taken.

this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.

7 0
2 years ago
A plane flew 360km in 3 hrs when flying with the wind.With no change in the wind,the return trip took 4 hrs.Find the speed of th
morpeh [17]
Speed of the plane: 250 mph
Speed of the wind: 50 mph
Explanation:
Let p = the speed of the plane
and w = the speed of the wind
It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. So we set up a system of equations.
600
m
i
3
h
r
=
p
−
w
600
m
i
2
h
r
=
p
+
w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation. I'll solve for x in the first equation:
200mph = p - w
Add w to both sides:
p = 200mph + w
Now we can substitute the x that we found in the first equation into the second equation so we can solve for w:
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
Divide by 2:
50mph = w
So the speed of the wind is 50mph.
Now plug the value we just found back in to either equation to find the speed of the plane, I'll plug it into the first equation:
200mph = p - 50mph
Add 50mph on both sides:
250mph = p
So the speed of the plane in still air is 250mph.
6 0
3 years ago
Juanita can complete 12 math problems in 40 minutes. How many problems can she complete in 60 minutes
RSB [31]

Answer:

The answer is 18.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Evaluate 5/3
    6·2 answers
  • A mathematical term that does not include an equal or inequality sign is called an _____.
    6·2 answers
  • What is the greatest common factor of 2 16 and 12
    5·1 answer
  • Help me solve this problem please
    8·2 answers
  • In a certain triangle, the measure of the largest angle is 20 degrees more than twice the measure of the smallest angle. Five ti
    5·1 answer
  • Given the figure above, determine​
    9·2 answers
  • Figure ABCD is a parallelogram.
    6·2 answers
  • Select the correct answer. Two art museums are hosting new long-term exhibits. The number of daily visitors attending each exhib
    7·1 answer
  • Three siblings are born on the same date in consecutive years.
    12·1 answer
  • Please help me with this problem!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!